Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caput...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/1097505 |
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| _version_ | 1832548915677757440 |
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| author | Zhongqi Peng Yuan Li Qi Zhang Yimin Xue |
| author_facet | Zhongqi Peng Yuan Li Qi Zhang Yimin Xue |
| author_sort | Zhongqi Peng |
| collection | DOAJ |
| description | The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. We also establish two comparison principles and prove the extremal solutions for nonlinear fractional p-Laplacian differential system with Caputo conformable derivatives by utilizing the monotone iterative technique. An example is given to verify the validity of the results. |
| format | Article |
| id | doaj-art-be86aebda00d429aa6dffcb7be614afc |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-be86aebda00d429aa6dffcb7be614afc2025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/10975051097505Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary ConditionZhongqi Peng0Yuan Li1Qi Zhang2Yimin Xue3School of Science, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Science, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Science, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, ChinaThe Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. We also establish two comparison principles and prove the extremal solutions for nonlinear fractional p-Laplacian differential system with Caputo conformable derivatives by utilizing the monotone iterative technique. An example is given to verify the validity of the results.http://dx.doi.org/10.1155/2021/1097505 |
| spellingShingle | Zhongqi Peng Yuan Li Qi Zhang Yimin Xue Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition Complexity |
| title | Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition |
| title_full | Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition |
| title_fullStr | Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition |
| title_full_unstemmed | Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition |
| title_short | Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition |
| title_sort | extremal solutions for caputo conformable differential equations with p laplacian operator and integral boundary condition |
| url | http://dx.doi.org/10.1155/2021/1097505 |
| work_keys_str_mv | AT zhongqipeng extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT yuanli extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT qizhang extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT yiminxue extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition |